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542626245 = 32572435997
BaseRepresentation
bin100000010101111…
…101000111000101
31101211001021021100
4200111331013011
52102403014440
6125502210313
716306150500
oct4025750705
91354037240
10542626245
11259331147
12131883999
138855b125
14520d0137
1532988230
hex2057d1c5

542626245 has 144 divisors (see below), whose sum is σ = 1150269120. Its totient is φ = 235726848.

The previous prime is 542626241. The next prime is 542626283.

542626245 is a `hidden beast` number, since 5 + 4 + 2 + 626 + 24 + 5 = 666.

542626245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542626245 - 22 = 542626241 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542626241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5594037 + ... + 5594133.

It is an arithmetic number, because the mean of its divisors is an integer number (7987980).

Almost surely, 2542626245 is an apocalyptic number.

It is an amenable number.

542626245 is an abundant number, since it is smaller than the sum of its proper divisors (607642875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542626245 is a wasteful number, since it uses less digits than its factorization.

542626245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 542626245 is about 23294.3393338382. The cubic root of 542626245 is about 815.6432850087.

The spelling of 542626245 in words is "five hundred forty-two million, six hundred twenty-six thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 49 59 63 97 105 129 147 177 215 245 291 295 301 315 387 413 441 485 531 645 679 735 873 885 903 1239 1455 1505 1935 2037 2065 2107 2205 2537 2655 2709 2891 3395 3717 4171 4365 4515 4753 5723 6111 6195 6321 7611 8673 10185 10535 12513 12685 13545 14259 14455 17169 17759 18585 18963 20855 22833 23765 26019 28615 29197 30555 31605 37539 38055 40061 42777 43365 51507 53277 62565 71295 85845 87591 88795 94815 114165 120183 124313 130095 145985 159831 187695 200305 204379 213885 246089 257535 262773 266385 280427 360549 372939 437955 600915 613137 621565 738267 799155 841281 1021895 1118817 1230445 1313865 1402135 1722623 1802745 1839411 1864695 2214801 2523843 3065685 3691335 4206405 5167869 5594085 8613115 9197055 11074005 12058361 12619215 15503607 25839345 36175083 60291805 77518035 108525249 180875415 542626245